205245553412032 has 28 divisors (see below), whose sum is σ = 465467594346160. Its totient is φ = 87962380033536.

The previous prime is 205245553411993. The next prime is 205245553412089. The reversal of 205245553412032 is 230214355542502.

It is a happy number.

205245553412032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×205245553412032² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205245553412032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229068697557 + ... + 229068698452.

It is an arithmetic number, because the mean of its divisors is an integer number (16623842655220).

Almost surely, 2^{205245553412032} is an apocalyptic number.

It is an amenable number.

205245553412032 is an abundant number, since it is smaller than the sum of its proper divisors (260222040934128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205245553412032 is an equidigital number, since it uses as much as digits as its factorization.

205245553412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458137396028 (or 458137396018 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 43.

The spelling of 205245553412032 in words is "two hundred five trillion, two hundred forty-five billion, five hundred fifty-three million, four hundred twelve thousand, thirty-two".